3 problems

Let $W_\pm$ be the wave operators for the one-dimensional Schrödinger operator under the hypotheses of the preceding theorem: either $V\in L^1_1$ and $0$ is not a resonance, or…

Let $d=2$ and let $\mathcal{W}_{-,i,1}^l(x,y)$ be the kernel arising in the decomposition of the wave operator for the Laplace operator with finite rank perturbations. In the case…

Jensen–Yajima conjecture. The wave operators $W_{\pm}$ should be bounded on $L^p(\mathbb{R}^4)$ for every $1\leq p\leq\frac{4}{3}$. This conjecture concerns the endpoint range not…